

where \({\cal Q}\)  is the second quadratic Casimir of the AdS group \(\mathsf {SO}(2,2)\) ,
given by eq. (). No simple systematic method was offered in [1]} to degauge \(\mathfrak {C}_{\alpha (n)}(h)\)  for generic \(n\) .
In this paper we solve the problem of deriving a closed-form expression for
\(\mathfrak {C}_{\alpha (n)}(h)\)  in terms of the AdS Lorentz covariant derivatives. An analogous result is also derived in the case of \(\mathcal {N}=1\)  AdS\(_3\)  supersymmetry.
